On the long-time stability of the Crank–Nicolson scheme for the 2D Navier–Stokes equations

Numerical Methods for Partial Differential Equations ◽

10.1002/num.20219 ◽

2007 ◽

Vol 23 (5) ◽

pp. 1235-1248 ◽

Author(s):

Florentina Tone

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Time Stability ◽

Navier Stokes Equations ◽

Long Time ◽

Nicolson Scheme ◽

Long Time Stability ◽

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On the long-time stability of finite element solutions of the navier-stokes equations in a rotating frame of reference

Bitlis Eren Üniversitesi Fen Bilimleri Dergisi ◽

10.17798/bitlisfen.601653 ◽

2020 ◽

Vol 9 (2) ◽

pp. 549-560

Author(s):

Mine AKBAŞ

Keyword(s):

Finite Element ◽

Stokes Equations ◽

Frame Of Reference ◽

Navier Stokes ◽

Rotating Frame ◽

Time Stability ◽

Navier Stokes Equations ◽

Long Time ◽

Long Time Stability

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On the Long-Time Stability of the Implicit Euler Scheme for the Two-Dimensional Navier--Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/040618527 ◽

2006 ◽

Vol 44 (1) ◽

pp. 29-40 ◽

Author(s):

F. Tone ◽

D. Wirosoetisno

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Euler Scheme ◽

Two Dimensional ◽

Time Stability ◽

Navier Stokes Equations ◽

Implicit Euler Scheme ◽

Long Time ◽

Long Time Stability

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Long Time Stability of High Order MultiStep Numerical Schemes for Two-Dimensional Incompressible Navier--Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/16m1061588 ◽

2016 ◽

Vol 54 (5) ◽

pp. 3123-3144 ◽

Author(s):

Kelong Cheng ◽

Cheng Wang

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Time Stability ◽

Numerical Schemes ◽

Navier Stokes Equations ◽

Long Time ◽

Long Time Stability

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Unconditional long-time stability of a velocity–vorticity method for the 2D Navier–Stokes equations

Numerische Mathematik ◽

10.1007/s00211-016-0794-1 ◽

2016 ◽

Vol 135 (1) ◽

pp. 143-167 ◽

Author(s):

Timo Heister ◽

Maxim A. Olshanskii ◽

Leo G. Rebholz

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Time Stability ◽

Navier Stokes Equations ◽

Long Time ◽

Long Time Stability

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Long Time Stability of a Classical Efficient Scheme for Two-dimensional Navier–Stokes Equations

SIAM Journal on Numerical Analysis ◽

10.1137/110834901 ◽

2012 ◽

Vol 50 (1) ◽

pp. 126-150 ◽

Author(s):

S. Gottlieb ◽

F. Tone ◽

C. Wang ◽

X. Wang ◽

D. Wirosoetisno

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Time Stability ◽

Navier Stokes Equations ◽

Long Time ◽

Efficient Scheme ◽

Long Time Stability

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The approximation of a Crank–Nicolson scheme for the stochastic Navier–Stokes equations

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2008.06.013 ◽

2009 ◽

Vol 225 (1) ◽

pp. 31-43 ◽

Author(s):

Xiaoyuan Yang ◽

Wei Wang ◽

Yuanyuan Duan

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Nicolson Scheme ◽

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A two-level correction method in space and time based on Crank–Nicolson scheme for Navier–Stokes equations

International Journal of Computer Mathematics ◽

10.1080/00207160802684426 ◽

2010 ◽

Vol 87 (11) ◽

pp. 2520-2532 ◽

Author(s):

Qingfang Liu ◽

Yanren Hou

Keyword(s):

Stokes Equations ◽

Correction Method ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Space And Time ◽

Nicolson Scheme ◽

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On computing the long-time solution of the two-dimensional Navier-Stokes equations

Theoretical and Computational Fluid Dynamics ◽

10.1007/bf00312445 ◽

1995 ◽

Vol 7 (4) ◽

pp. 261-278 ◽

Author(s):

M. S. Jolly ◽

C. Xiong

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Navier Stokes Equations ◽

Time Solution ◽

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Long time estimate of solutions to 3d Navier–Stokes equations coupled with heat convection

Applicationes Mathematicae ◽

10.4064/am39-1-2 ◽

2012 ◽

Vol 39 (1) ◽

pp. 23-41 ◽

Author(s):

Jolanta Socała ◽

Wojciech M. Zajączkowski

Keyword(s):

Stokes Equations ◽

Heat Convection ◽

Navier Stokes ◽

Time Estimate ◽

Navier Stokes Equations ◽

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A note on the importance of mass conservation in long-time stability of Navier–Stokes simulations using finite elements

Applied Mathematics Letters ◽

10.1016/j.aml.2015.01.018 ◽

2015 ◽

Vol 45 ◽

pp. 98-102 ◽

Author(s):

Mine Akbas Belenli ◽

Leo G. Rebholz ◽

Florentina Tone

Keyword(s):

Finite Elements ◽

Mass Conservation ◽

Navier Stokes ◽

Time Stability ◽

Long Time ◽

Long Time Stability

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